General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/602513 |
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| _version_ | 1832563898189873152 |
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| author | Peichao Duan Aihong Wang |
| author_facet | Peichao Duan Aihong Wang |
| author_sort | Peichao Duan |
| collection | DOAJ |
| description | We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by many others. |
| format | Article |
| id | doaj-art-312ac576929042be9afc5de07180393f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-312ac576929042be9afc5de07180393f2025-02-03T01:12:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/602513602513General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert SpacesPeichao Duan0Aihong Wang1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by many others.http://dx.doi.org/10.1155/2012/602513 |
| spellingShingle | Peichao Duan Aihong Wang General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces Journal of Applied Mathematics |
| title | General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces |
| title_full | General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces |
| title_fullStr | General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces |
| title_full_unstemmed | General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces |
| title_short | General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces |
| title_sort | general iterative methods for equilibrium problems and infinitely many strict pseudocontractions in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/602513 |
| work_keys_str_mv | AT peichaoduan generaliterativemethodsforequilibriumproblemsandinfinitelymanystrictpseudocontractionsinhilbertspaces AT aihongwang generaliterativemethodsforequilibriumproblemsandinfinitelymanystrictpseudocontractionsinhilbertspaces |